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Finding the Fourth Proportional to 13,205.34, 19,782.90 and 8,520.30

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Solution

The fourth proportional to 13,205.34, 19,782.90 and 8,520.30 is: 12,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.34 : 19,782.90 = 8,520.30 : x
  2. Step 2: Convert to fraction form
    13,205.34/19,782.90 = 8,520.30/x
  3. Step 3: Cross multiply
    13,205.34x = 19,782.90 × 8,520.30
  4. Step 4: Simplify right side
    13,205.34x = 168,556,242.87
  5. Step 5: Solve for x
    x = 168,556,242.87/13,205.34
  6. Step 6: Final answer
    x = 12,764.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.